Answer: 78 ounces of dough was bought.
52 ounces of sauce was bought.
There were 13 guests .
Step-by-step explanation:
Let x = Number of guests
As per given, For each person 6 ounces of dough and 4 ounces of sauce is required.
i.e. Total ounces of dough and sauce together required = 6+4=10
The dough and sauce is 130 ounces all together.
i.e. 
Divide both sides by 10 , we get
x= 13
i.e. there were 13 guests .
Total ounces of dough = 6 x ( Number of guests) = 6 x 13= 78 ounces
hence, 78 ounces of dough was bought.
Total ounces of sauce = 4 x ( Number of guests) = 4 x 13= 52 ounces
hence, 52 ounces of sauce was bought.
Step-by-step explanation:
let the number of questions solved by Andy=x
this implies that 6+x=10
making x the subject of the equation
x=10-6
x=4
therefore Andy solved 4 questions
Answer:
The value of x is 4
Step-by-step explanation:
In a right triangle, if a segment is drawn from the right angle ⊥ to the hypotenuse like the given figure, then
∵ The length of one side of the right triangle = (x + 2)
∵ The length of the hypotenuse = x + 5
∴ (x + 2)² = x (x + 5)
∵ (x + 2)² = (x + 2)(x + 2)
∴ (x + 2)(x + 2) = x(x + 5)
→ Simplify the two sides
∵ (x)(x) + (x)(2) + (2)(x) + (2)(2) = (x)(x) + (x)(5)
∴ x² + 2x + 2x + 4 = x² + 5x
→ Add the like terms in the left side
∴ x² + 4x + 4 = x² + 5x
→ Subtract x² from both sides
∵ x² - x² + 4x + 4 = x² - x² + 5x
∴ 4x + 4 = 5x
→ Subtract 4x from both sides
∴ 4x - 4x + 4 = 5x - 4x
∴ 4 = x
∴ The value of x is 4
3.124
3 + 0.100+ 0.020 + 0.004
First, add 12 to both sides of the equation,
-3y - 12 + 12 = -4 + 12
-3y = 8
Then, divide both the left hand and right hand sides of the equation by -3
(-3y) / -3 = 8/-3
The value of y is therefore,
y = -8/3
